sqrt(8x^3+24x^2)+18x=

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Solution for sqrt(8x^3+24x^2)+18x= equation:


Simplifying
sqrt(8x3 + 24x2) + 18x = 0

Reorder the terms:
qrst(24x2 + 8x3) + 18x = 0
(24x2 * qrst + 8x3 * qrst) + 18x = 0
(24qrstx2 + 8qrstx3) + 18x = 0

Solving
24qrstx2 + 8qrstx3 + 18x = 0

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-18x' to each side of the equation.
24qrstx2 + 8qrstx3 + 18x + -18x = 0 + -18x

Combine like terms: 18x + -18x = 0
24qrstx2 + 8qrstx3 + 0 = 0 + -18x
24qrstx2 + 8qrstx3 = 0 + -18x
Remove the zero:
24qrstx2 + 8qrstx3 = -18x

Combine like terms: -18x + 18x = 0
24qrstx2 + 8qrstx3 + 18x = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(12qrstx + 4qrstx2 + 9) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(12qrstx + 4qrstx2 + 9)' equal to zero and attempt to solve: Simplifying 12qrstx + 4qrstx2 + 9 = 0 Reorder the terms: 9 + 12qrstx + 4qrstx2 = 0 Solving 9 + 12qrstx + 4qrstx2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 12qrstx + -9 + 4qrstx2 = 0 + -9 Reorder the terms: 9 + -9 + 12qrstx + 4qrstx2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 12qrstx + 4qrstx2 = 0 + -9 12qrstx + 4qrstx2 = 0 + -9 Combine like terms: 0 + -9 = -9 12qrstx + 4qrstx2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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